what you mean by "even with both SYNC wires OFF the board" ?
both wires disconnected (yellow and white) ?
if they are disconnected, it is normal that its out of sync, since there is no sync signal entering the chassis.
if its connected and does the same, then it could be that your board is not sending a sync signal.
another point is that you say that the broken board with the red image does the same, so or you have two boards with a sync issue or you have 2 boards without a sync issue and the problem is in your monitor
you also stated this earlier : "When you do/order a G07 rebuild kit, you dont get the pots, only resistors etc...." , which makes me asking you this question, did you do the rebuild, and did you have the issue before the rebuild ?
what happens when you hook up that monitor to a "know" working board ?
(in other words, try to connect it to a working game you have

)
do you have another game that uses also a G7 so a easy testswap can be made ?